145117633100 has 144 divisors (see below), whose sum is σ = 350133840000. Its totient is φ = 51760128000.

The previous prime is 145117633093. The next prime is 145117633109. The reversal of 145117633100 is 1336711541.

145117633100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145117633100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145117633109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32382860 + ... + 32387340.

It is an arithmetic number, because the mean of its divisors is an integer number (2431485000).

Almost surely, 2^145117633100 is an apocalyptic number.

145117633100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145117633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175066920000).

145117633100 is an abundant number, since it is smaller than the sum of its proper divisors (205016206900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145117633100 is a wasteful number, since it uses less digits than its factorization.

145117633100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 145117633100 in words is "one hundred forty-five billion, one hundred seventeen million, six hundred thirty-three thousand, one hundred".